Question

Draw a line segment of length 10 cm and bisect it. Further bisect one of the equal parts and
measure its length.

Answer 1

Steps of construction:
1. Draw a line segment AB of 10cm
2. With center A and radius more than `1/2` AB draw arcs one on each side of AB
3. With center B and same radius draw arcs cutting previous arcs at P and Q respectively.
4. Join PQ and which intersect AB at C
5. With center A and radius more than `1/2` AC drawing on each side of AC.
6. With center C and same radius, draw arcs cutting previous arcs at R and S respectively.
7. Join RS and which intersect AC at b.
∴ AD = 2.5cm.